Given:
The graph of a line.
To find:
The equation of the line.
Solution:
From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:
Subtract 2 from both sides.
Therefore, the equation of the line is .
Answer:
12 bow ties
Step-by-step explanation:
1/2 yard = 1.5 feet = 1 bow tie
1.5 x 2 = 3 feet
1 yd = 2 bow ties
18/3 = 6 yards
6 x 2 = 12 bow ties
Answer:
y = 10/3x + 20
Step-by-step explanation:
First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).
m = y₁ - y₂ / x₁ - x₂
m = 30 - 40 / 3 - 6
m = -10/-3
m = 10/3
Now we know the slope is 10/3.
In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.
